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A person throws a bottle into a dustbin at the same height as he is 2m away at an angle of 45°. The velocity of the bottle thrown is: Q 1. g 2. √g 3. 2g 4.√2g g comes inside the root in respective cases. ...

Q1> A particle of mass 'm' was transferred from the center of the base of uniform hemisphere of mass 'M' and radius 'R' into infinity.What work was performed in the process by the gravitational force on the particle by the ...

A simple pendulum consists of a bob of mass m and a light string of length l.Initially it is hanging vertically.Another identical ball moving with small velocity v0 horizontally collides with the pendulum's bob and sticks to ...

if two circles each of radius 5 unit touch each other at (1,2) and the equation of their common tangent is 4x+3y=10,then the equation of the circle, a portion of which lies in all the quadrants is: (a)x2+y2-10x-10y+25=0 (b)x2 ...

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what is the value of acc. due to gravity on the planet's surface a) 1m/s^2 b) 2m/s^2 c) 4m/S^2 d) 9.8m/s^2 . . please explain. ...

\ cos4xcos7x =\ 1/2(cos3x+cos11)dx where'\' is sign of integration. is there any formulae regarding to it... ...

IF y=x+x2/2+x3/3+x4/4+....... THEN PROVE THAT x=y-y2/2!+y3/3!+y4/4!+....... ...

\hspace{-16}\mathbb{I}$f $\bf{n=\frac{1}{\frac{1}{1980}+\frac{1}{1981}+........+\frac{1}{2012}}}$. Then $\bf{\lfloor n \rfloor}$ is \\\\\\ Where $\bf{\lfloor x \rfloor = }$Floor Sum. ...

In a reaction NH4NO2 → N2(g) + 2H2O (l) the volume of N2 after 20 mins and after a long time is 40ml and 70ml respectively ...the value of rate const is: a)(1/20)ln(7/4) /min b)(2.303/1200)log(7/3) /sec c)(1/20)log(7/3) /mi ...

1) ∫√secx ...

A weak base BOH of concentration 0.02 mole/litre has a pH value of 10.45.If 100 ml of the base is mixed with 10 ml of 0.1 M HCl, what will be the pH of the mixture? ...

If f(x)= cos nx sin 5x/n is periodic with peiod 3Ï€ then find the sum of integral values of n. ...

The pH of a 102 M HCl solution at 250C would be: a. -2 b. 2 c. 0 d. between 0 & 1 Please provide your logic for the answer as well ...

\hspace{-16}$If $\bf{f(x+1)=(-1)^{x+1}.x-2f(x)\forall x\in \mathbb{N}}$ and $\bf{f(1)=f(1986)}$\\\\ Then Sum of Digit of the no. $\bf{f(1)+f(2)+f(3)+.....+f(1985)}$ ...

∂n/∂xn(log x) is: (a)(n-1)!/xn (a)(n)!/xn (a)(n-2)!/xn (a)(-1)(n-1)(n-1)!/xn ...

A weak base BOH of concentration 0.02 mole/litre has a pH value of 10.45.If 100 ml of the base is mixed with 10 ml of 0.1 M HCl, what will be the pH of the mixture? ...

Quadrilateral ABCD has AB=BC=CD, ANGLE ABC=70degees ,and ANGLE BCD=170degree.WHAT IS THE MEASURE OF ANGLE BAD? ...

*Image* The figure shows a block in the influence of a force 500N. Friction working is 100N. The net force causes a displacement of 3m of the body.Find the work done against friction. ...

I am in 11th class and please tell me is coaching institute study material exercises are sufficient or should I try out HC Verma or DC Pandey , which book do you suggest from Arihant for 11th class physics practice (not theor ...

I am drinking a glass of lassi or juice. I insert a straw (perpendicularly) inside it. Let's say that for a certain value of the thickness(density) of the juice, the straw stands still straight. what is the minimum density of ...

suppose f:R->R is a differentiable function and f(1) = 4, then find the value of lim ∫(frm 0 to 4){ 2t/x-1 dt}. x->1 ...

The value of lim (n -> ∞) [sum (r varies 1 to n) {1/2r}], where [.] -> G.I.F is ................ ...

The number of waves made by an electron moving in an orbit having maximum quantum number(m)+3 is (a)3 (b)4 (c)5 (d)6 ...

The first ionization energy of H is 21.79x10-19J.Calculate the second ionization energy of He atom. (According to me, 2nd I.E of He=E2-E∞ =(21.79x10-19)x 22/22 -0 (E=21.79x10-19x z2/n2 ) =21.79x10-19J given correct answer i ...

Prove that f(x) = [x2] - [x]2 is discontinuous for all integral values of x except only at x = 1. ...

In many books a shortcut trick for checking differnetiabiltiy of a fuction is given by first differentiate LHS and RhS and check if both the slope are coming same, provided the function is continous. However in many question ...

1. ∫tan7 x/2 sec2 x/2 dx 2.∫ x + 2/(1 + x )2 dx Plz Help ...

find domain of sin-1 { x2 + 1/2x } m not able to find it... please help me...!! ...